Jump for joy: Curtis Rona of the Cowboys scores against the Eels. Photo: Getty Images

The win was the Cowboys' third of the season and kept them within two points of the top-eight heading into the representative round break.

Coach Paul Green made some changes from the sides that lost to Wests Tigers and Manly in recent weeks, dumping halfback Robert Lui back to Queensland Cup and moving hooker Ray Thompson into the number seven jersey.

Halfback Chris Sandow opted to go for the two points after Parramatta received a penalty just before the buzzer, as the Cowboys led 18-14 at half-time.

Parramatta's momentum seemed to continue straight after the re-start after Jarryd Hayne ran into a large gap in the first minute, but his opposite fullback Morgan pulled down the Test and New South Wales representative to stop a certain try.

Just as in the first half the Cowboys were the first to cross the line as Kane Linnett broke a 13-match scoreless streak to extend the home side's lead on 45 minutes.

The centre was in again 10 minutes later and the game was put beyond doubt when Rona leaped on a Thompson kick.

Fullback Morgan completed the scoring on 70 minutes when he latched onto his own kick.